In problem 2.3, you were given mean tire life and standard deviations of tire life for each tire type. Use this information to calculate:

Mean All 50000 High 50000 Standard deviation All 5368.46 High 6276.6

(a) The probability that a sample of 16 all weather tires will have an average tire life of more than 52,000 miles.

(b) The probability that a sample of 64 all weather tires will have an average life of more than 52,000 miles.

(c) The probability that a sample of 5 high performance tires will have an average life of less than 40,000 miles.

(d) The probability that a sample of 20 high performance tires will have an average life of less than 40,000 miles.